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# If all the faces of pyramid P (including the base) are equilateral tri

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
If all the faces of pyramid P (including the base) are equilateral tri  [#permalink]

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01 Aug 2017, 13:23
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71% (01:21) correct 29% (02:20) wrong based on 12 sessions

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If all the faces of pyramid P (including the base) are equilateral triangles of side 2, what is the surface area of pyramid P?

A. 4+(3√3)/4
B. 4√3
C. 4+3√3
D. 6√3
E. 12

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Joined: 07 Dec 2014
Posts: 1224
Re: If all the faces of pyramid P (including the base) are equilateral tri  [#permalink]

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01 Aug 2017, 13:54
Bunuel wrote:
If all the faces of pyramid P (including the base) are equilateral triangles of side 2, what is the surface area of pyramid P?

A. 4+(3√3)/4
B. 4√3
C. 4+3√3
D. 6√3
E. 12

4 equilateral triangles with sides of 2=
8 right triangles with bases of 1 and heights of √3
8*1/2*1*√3=4√3
B
Intern
Joined: 03 Jul 2015
Posts: 7
Re: If all the faces of pyramid P (including the base) are equilateral tri  [#permalink]

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01 Aug 2017, 13:56
B.

Area of equilateral triangle =say(3)/4 * a^2

Area of pyramid= 4*√3/4*2^2=4√3

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Re: If all the faces of pyramid P (including the base) are equilateral tri   [#permalink] 01 Aug 2017, 13:56
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